FUZZY REAL NUMBERS AND THEIR RELATION TO THE TOPOLOGICAL VECTOR SPACE

In this paper first we show that the fuzzy normed spaces (FNS) constructed by fuzzy real numbers are topological vector space, and then we prove that the definition of fuzzy continuity and topological continuity are equivalent. By using that we can easily establish all results in the topological vector spaces for the fuzzy normed spaces..

Keywords:

Fuzzy real number , Fuzzy norm , Fuzzy bounded operator , topological vector space